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Penyelesaian:

( (8m^-9) (n^-2) / (64m^-6) (n) )^-1
= ((1/8) (m^-3) (n^-3))^-1
= 8(m^3)(n^3)
= (2^3)(m^3)(n^3)
= (2mn)^3 (E).

[(8m^-9 . n^-2)/(64 m^-6 n)]^-1
= [(64 m^-6 n)/(8 m^-9 n^-2)]^1
= 64/8 . m^(-6 - (-9)) . n^(1 - (-2))
= 8 . m^(-6 + 9) . n^(1 + 2)
= 2^3 . m^3 . n^3
= (2mn)^3